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Finding the Fourth Proportional to 5,033.50, 7,551.33 and 1,955.50

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Solution

The fourth proportional to 5,033.50, 7,551.33 and 1,955.50 is: 2,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.50 : 7,551.33 = 1,955.50 : x
  2. Step 2: Convert to fraction form
    5,033.50/7,551.33 = 1,955.50/x
  3. Step 3: Cross multiply
    5,033.50x = 7,551.33 × 1,955.50
  4. Step 4: Simplify right side
    5,033.50x = 14,766,625.82
  5. Step 5: Solve for x
    x = 14,766,625.82/5,033.50
  6. Step 6: Final answer
    x = 2,933.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.